On finite p-groups of supersoluble type

نویسندگان

چکیده

A finite p-group S is said to be of supersoluble type if every fusion system over supersoluble. The main aim this paper characterise the p-groups type. Abelian and metacyclic are completely described. Furthermore, we show that Sylow p-subgroups a simple group must cyclic.

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ژورنال

عنوان ژورنال: Journal of Algebra

سال: 2021

ISSN: ['1090-266X', '0021-8693']

DOI: https://doi.org/10.1016/j.jalgebra.2020.08.025